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Funktsional'nyi Analiz i ego Prilozheniya, 2010, Volume 44, Issue 2, Pages 48–56
DOI: https://doi.org/10.4213/faa2991 (Mi faa2991) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Moduli spaces $\mathcal{M}_{2,1}$ and $\mathcal{M}_{3,1}$

Yu. Yu. Kochetkov

Moscow State Institute of Electronics and Mathematics
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DOI: https://doi.org/10.4213/faa2991
Abstract: The cell structure of the spaces $\mathcal{M}_{2,1}$ and $\mathcal{M}_{3,1}$ is considered. These are the spaces of complex curves of genus 2 and 3 with one marked point. For the space $\mathcal{M}_{2,1}$, nine cells of the highest dimension 8 are described and their adjacency is studied. For the space $\mathcal{M}_{3,1}$, a list of all $1726$ cells of the highest dimension 14 (with orientation) is obtained. The list of adjacent couples of cells is also obtained. These lists can be found on the web.
Keywords: moduli space of curves with marked points, embedded graphs.
Received: 15.12.2008
English version:
Functional Analysis and Its Applications, 2010, Volume 44, Issue 2, Pages 118–124
DOI: https://doi.org/10.1007/s10688-010-0015-0
Bibliographic databases:
Document Type: Article
UDC: 512.7
Language: Russian
Citation: Yu. Yu. Kochetkov, “Moduli spaces $\mathcal{M}_{2,1}$ and $\mathcal{M}_{3,1}$”, Funktsional. Anal. i Prilozhen., 44:2 (2010), 48–56; Funct. Anal. Appl., 44:2 (2010), 118–124
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Функциональный анализ и его приложения Functional Analysis and Its Applications
     
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